It's kind of you to ask, Tisha.
As a general rule: hybrid tea roses seem to fare worst. Most floribundas fare better. It's a rare David Austin rose that has any problem at all. Minis and polyanthas do well when they get adequate water. Of course, it's a lot more complicated than that...
Faves for ease of culture include: Cherry Parfait, Ilse Krohn Superieur, Mme Alfred Carriere, Marchioness of Londonderry, Chevy Chase, Zephirine Drouhin, Crocus Rose, Graham Thomas, Malvern Hills, Lady of Shallott, Parade, Nicole, Westerland, South Africa, Day Breaker, Julia Child & Chris Evert(when I spray for blackspot), Oranges 'n' Lemons, Europeana (when I'm in the mood to provide enough water), Marie Pavie, Jacqueline duPre, Larissa, Caramella Fairy Tale, Portlandia, Gourmet Popcorn, Calwell Pink AKA Pink Pet, Desiree Parmentier, Ispahan, Hermosa, Lady Pamela Carol (when I spray Liquid Fence), and Sombreuil.
James Mason is an easy care rose, even in shade; but I'm undecided whether I like it. Centennaire des Lourdes has pretty flowers, but it's not a very pretty shrub. Demokracie, Orfeo, Sexy Rexy, and Rise 'n' Shine (all in their fourth season), and Disco dancer show promise, but it's still too early to tell.
Among roses listed as HTs: Selfridges and Grande Dame thrive. Ascot grows like a weed. Olympiad gets by. Folklore competes with maple tree roots and wins. So does the floribunda Pink Parfait. Gemini, Fire Fighter, and Love are on the 'shovel prune next year' list; but perhaps they've not been getting enough water. One of three Double Delight survives - this HT I intend to learn how to grow. So far, it looks like Typhoo Tea, Illumination, and Lady Elgin are coming through their first winter OK. Interesting.
There are a number of HT roses on my planting list this year; I'm going to see if seven years here have taught me anything at all about keeping them alive...
I'm afraid by now you now know almost as much about my rose garden as I do. Not too bored, I hope. (My apologies for being off topic, too; but if Ludwigs is gone what roses are we to plant???)